Question

Ena spends all her income on her rent,travel and life expenses. She spends third of her income on rent,fifth of her income on travel ans 420$ on living expenses. How much does she make per month?

247

likes
1237 views

Answer to a math question Ena spends all her income on her rent,travel and life expenses. She spends third of her income on rent,fifth of her income on travel ans 420$ on living expenses. How much does she make per month?

Expert avatar
Brice
4.8
110 Answers
1. Denote Ena's monthly income by \( x \).

2. She spends one-third on rent:

\frac{x}{3}

3. She spends one-fifth on travel:

\frac{x}{5}

4. Total expenses on rent, travel, and living expenses:

\frac{x}{3} + \frac{x}{5} + 420

5. The total expenses are equals to her monthly income:

\frac{x}{3} + \frac{x}{5} + 420 = x

6. Find a common denominator for fractions:

\frac{5x}{15} + \frac{3x}{15} + 420 = x

7. Combine the fractions:

\frac{8x}{15} + 420 = x

8. Isolate \( x \) by moving \( \frac{8x}{15} \) to the right:

420 = x - \frac{8x}{15}

9. Simplify the right side:

420 = \frac{15x - 8x}{15}

10. Combine like terms:

420 = \frac{7x}{15}

11. Multiply both sides by 15:

420 \cdot 15 = 7x

12. Simplify:

6300 = 7x

13. Divide both sides by 7 to find \( x \):

x = \frac{6300}{7}

14. Simplify:

x = 900

Frequently asked questions (FAQs)
Math question: Find the derivative of f(x) = 3x^5 - 2x^3 + 4x - 7.
+
Find the domain of the trigonometric function f(x) = sec(x) within the interval [0, 2π].
+
What is the slope of a line passing through points (2,4) and (6,10)?
+
New questions in Mathematics
1/2x +3 <4x-7
If O(3,-2) is reflected across x = 2. What are the coordinates of O
X^2 = 25
Determine the equations of the recipes that pass through the following pairs of points P1 (2;-1) and p2 (4;-1)
[(36,000,000)(0.000003)^2]divided(0.00000006)
The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(µ, σ). Determine a 95% two-sided confidence interval for the mean µ .
prove that if n odd integer then n^2+5 is even
-3(-4x+5)=-6(7x-8)+9-10x
. What will be the osmotic pressure of a solution that was prepared at 91°F by dissolving 534 grams of aluminum hydroxide in enough water to generate 2.784 ml of solution.
Quadratic equation 2X = 15/X + 7
5x+13+7x-10=99
(X+2)(x+3)=4x+18
Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.
A buyer purchased a North Carolina home for $475,250. The seller allowed the buyer to assume his first small mortgage with a loan balance of $110,000. How much is the excise tax paid in the transaction? $951 $729.50 $950.50 $221 none of the above
a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7. What is the probability that a student scores between 80 and 88
The average undergraduate cost per tuition, fees, room, and board for all institutions last year was $26,025. A random sample of 40 institutions of higher learning this year indicated that the mean tuition, fees, room, and board for the sample was $27,690, and the population standard deviation is $5492. At the 0.05 level of significance, is there sufficient evidence that the cost has increased? (Remember to follow the steps in hypothesis testing)
8/9 divided by 10/6
How many moles are there in 235 grams of potassium thiosulfate pentahydrate? K2S2O3*5(H2O)
A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 55.0 min at 100.0 km/h, 14.0 min at 65.0 km/h, and 45.0 min at 60.0 km/h and spends 20.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.
f(r) = 1/r+9 find f(x^2) + 1